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Generalized Maximum Entropy Estimation of Discrete Sequential Move Games of Perfect Information

Listed author(s):
  • Yafeng Wang
  • Brett Graham
Registered author(s):

    We propose a data-constrained generalized maximum entropy estimator for discrete sequential move games of perfect information. Unlike most other work on the estimation of complete information games, the method we proposed is data constrained and requires o simulation or assumptions about the distribution of random preference shocks. We formulate the GME estimation as a (convex) mixed-integer nonlinear optimization problem which can be easily implemented on optimization software with high-level interfaces such as GAMS. The model is identified with only weak scale and location normalizations. Monte Carlo evidence demonstrates that the estimator can perform well in moderately size samples. As an application we study the location choice of German siblings using the German Ageing Survey.

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    File URL: http://121.192.176.75/repec/upload/20116301449277055475115776.pdf
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    Paper provided by Wang Yanan Institute for Studies in Economics (WISE), Xiamen University in its series WISE Working Papers with number 2013-10-14.

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    Date of creation: 14 Oct 2013
    Publication status: published
    Handle: RePEc:wyi:wpaper:002036
    Contact details of provider: Web page: http://www.wise.xmu.edu.cn/english/

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    1. Joel L. Horowitz, 1998. "Bootstrap Methods for Median Regression Models," Econometrica, Econometric Society, vol. 66(6), pages 1327-1352, November.
    2. Michael J. Mazzeo, 2002. "Product Choice and Oligopoly Market Structure," RAND Journal of Economics, The RAND Corporation, vol. 33(2), pages 221-242, Summer.
    3. Bajari, Patrick & Hong, Han & Krainer, John & Nekipelov, Denis, 2010. "Estimating Static Models of Strategic Interactions," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(4), pages 469-482.
    4. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, January.
    5. Shiko Maruyama, 2009. "Estimating Sequential-move Games by a Recursive Conditioning Simulator," Discussion Papers 2009-01, School of Economics, The University of New South Wales.
    6. Golan, Amos & Judge, George & Perloff, Jeffrey, 1997. "Estimation and inference with censored and ordered multinomial response data," Journal of Econometrics, Elsevier, vol. 79(1), pages 23-51, July.
    7. R. Carter Hill & Randall C. Campbell, 2001. "Maximum Entropy Estimation in Economic Models with Linear Inequality Restrictions," Departmental Working Papers 2001-11, Department of Economics, Louisiana State University.
    8. Jouneau-Sion, Frederic & Torres, Olivier, 2006. "MMC techniques for limited dependent variables models: Implementation by the branch-and-bound algorithm," Journal of Econometrics, Elsevier, vol. 133(2), pages 479-512, August.
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